Step-by-step explanation:
profit= revenue - cost
profit = 2(87)-69.80
=174-69.20=104.8 R
Find fifth roots of 4-4i
Find x if f(x) = 2x² - 14 and f(x) =114.
The graph of the parent tangent function was transformed such that the result is function f. f(x) = tan(x + 1) Which graph represents function f? OA. رہے O C. -4 -2 O D. f(x) 4- 2- -2- 2 B. f(x) 4- 2- H 0 -4 -2/ -2- f(x) 4- 2- D X 10 -4 -2 4 -22- f(x) 4. 2- Al X 0 -2 -2- -4- 2 4 2 X 4 X
Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).
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can you guys please help me on this question
Answer:
2.44 units
Explanation:
[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 40°radius = 3.5Solve for AB:
[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]
[tex]\rightarrow \sf 2.4422...[/tex]
[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken. [6 points] a) what is the probability the sample has a mean gas mileage between 27 and 29 miles per gallon?
The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.
Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be
The value of the z-score at x = 27, we have
[tex]z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13[/tex]
The value of the z-score at x = 29, we have
[tex]z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16[/tex]
Then the probability will be
[tex]\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end[/tex]
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Lynn gave her nail technician a $5.40 tip. The tip was 18% of the cost of the manicure. write an equation to find b, the cost of the manicure
Please help. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
The area of the rhombus in the simplest radical form is 87 units²
Properties of a rhombusAll the sides are equal.Opposite sides are parallel.Diagonals are perpendicular to each other.Opposite angles are equal.Therefore,
area of the rhombus = ab / 2
where
a and b are the diagonalsTherefore,
tan 60 = x / 5
x = 5 tan 60
x = 8.66025403784
x = 8.7 units
area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²
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A vehicle is randomly selected. Let T be the event that
the vehicle is a truck and A be the event that the
vehicle has all-wheel drive. What is the value of P(T°
and A)?
A)0.06
B)0.20
C)0.32
D)0.80
Using it's concept, it is found that the desired probability is given as follows:
B) 0.20.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:
p = 33/165 = 0.2.
Which means that option B is correct.
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Answer:
B) 0.20
Step-by-step explanation:
correct on edge
se a model to solve: (3 points)
two sevenths plus three sevenths plus one seventh equals
Answer:
6/7
Step-by-step explanation:
all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.
The area of a gym is 3,403 m squared. If the width of the gym is 41 m, what is the length of the gym?
Type your numerical answer below (without units). If necessary, round to the nearest whole number.
Answer:
83 m
Step-by-step explanation:
The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.
__
A = LW . . . . . area of a rectangle of length L and width W
3403 m² = L(41 m) . . . . with given values filled in
L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L
The length of the gym is 83 meters.
The formula for compound interest is
A = P (1 + r/100)t
where A is the total amount of money, P is the amount invested, r is the interest rate per compounding period, and t is the total number of years. What would be the total amount of money after 4 years if $1,000 were invested at 2% compounded annually?
Answer:
ProvideD :
Time ( T ) = 4 years , Principal ( P ) = $ 1000 , Rate ( R ) = 2 % paTo FinD :
Total amount of money ( A )SolutioN :
All you need to do is plug the values in the provided formula and solve for A[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]
[tex] \longrightarrow \tt \: a = 1082.43216[/tex]
The total amount of money would be $ 1082.43216--------- HappY LearninG <3 ---------
HURRY PLEASE !!!
Find the equation of the line that passes through the points: (2, 2) and (3, 4)
Answer:
y=2(x-2) +2
Step-by-step explanation:
is 5/10 Equivalent to 1/4?
No
[tex] \frac{5}{10} = \frac{5 \times 1}{5 \times 2} = \frac{1}{2} \\ [/tex]
the area of Zimbabwe is 390750km write this in standard form correct to three significant figures
Answer:
3.9075x10^5
Step-by-step explanation:
Hope this helps! ;-)
Find the mean of this data set
(Show your work)
Answer:
3
Step-by-step explanation:
Find the sum of the data set and divide it by the number of data points in the set:
[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]
Therefore, the mean of the data set is 3
Find the mean, median, mode, and range of the following data with and without outliers.
110, 64, 23, 95, 86, 17, 23, 100, 95, 67
HELP. td is the last day to finish hmw and I'm behind :,)
Answer:
mean: 68
median: 76.5
mode: 23, 95
range: 93
Step-by-step explanation:
Put numbers in order:
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
mean: sum of the terms / number of terms
sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680
number of terms: 10
680 / 10 = 68
median: number of terms / 2
10 / 2 = 5, 5th number on the list
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
between 67 and 86 since its an even number data set
67 + 86 / 2 = 76.5
mode: the most occurring number
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
- 17, 64, 67, 86, 100, 110 has 1 each
- 23 has 2
- 95 has 2
23 and 95 have the same reoccurring amount
range: max - min numbers
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
110 - 17 = 93
NO outliers
Hope this helps you a little more for your last day of finishing hmw :)
Let me know if you need anymore help !
OR have questions
State if the three numbers can be the measures of the sides of a triangle. 11, 3, 8
we have three sides, let's look at the two smaller sides first.
check the picture below atop.
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
so the third side being 11 is a no dice.
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
Step-by-step explanation:
for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.
and the arc angle is normally representing the angle at the center of the circle.
therefore, the
angle ACB = arc angle AB / 2 = 80/2 = 40°
so, B is the right answer.
Ammonia, nh3 (delta.hf = –46.2 kj), reacts with oxygen to produce water (delta.hf = –241.8 kj) and nitric oxide, no (delta.hf = 91.3 kj), in the following reaction: 4 upper n upper h subscript 3 (g) plus 5 upper o subscript 2 (g) right arrow 6 upper h subscript 2 upper o (g) plus 4 upper n upper o (g). what is the enthalpy change for this reaction? use delta h r x n equals the sum of delta h f of all the products minus the sum of delta h f of all the reactants.. –900.8 kj –104.6 kj 104.6 kj 900.8 kj
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
Data obtained from the question4NH₃ + 5O₂ —> 6H₂O + 4NOEnthalpy of ammonia, NH₃ = –46.2 KJEnthalpy of Oxygen = 0 KJEnthalpy of water, H₂O = –241.8 KJEnthalpy of nitric oxide, NO = 91.3 KJEnthalpy change (ΔH) =?How to determine the enthalpy changeΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
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Answer:
A: –900.8 kJ
Step-by-step explanation:
Question content area top
Part 1
compares the heights of two plants to see which plant grows more per day. The table shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in centimeters, over 10 days. says that since Plant 1 grows cm per day and Plant 2 grows cm per day, grows more per day. Answer parts a and b.
Answer:
Step-by-step explant 1 grows more
Step-by-step explanation:
plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:
Jillian guessed at random for each question on a true-false quiz of ten questions. what is the probability that she got exactly seven questions correct?
Answer:
11/64
Step-by-step explanation:
Each question can be answered in 2 ways
∴ Total ways in which 10 questions can be answered
=2¹⁰
No. of ways of guessing at least 7 questions
out of 10
=7 questions correct +8 questions correct
+9 questions correct +10 questions correct
= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰
= 120 + 45 + 10 +1
=176
..Required Probability =176/2¹⁰
.. =11×16/2¹⁰
=11/64
what type of association would you expect to see between the length of a movie and the number of actors in the movie
Answer:
positive association
Step-by-step explanation:
The longer a movie is, the more screen time it will have, and the more actors it will probably need.
I'll give brainiest to whoever answers these correctly
1)The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
Of the middle school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2)Which of the following can you conclude from the two-way table?
A) Middle school and elementary school students are equally likely to own a smartphone.
B) An elementary school student is more likely to own a smartphone than a middle school student.
C) A middle school student is more likely to own a smartphone than an elementary school student.
D)There is no association between the student's school and owning a smartphone.
1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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How many solutions does the following equation have? -4x + 2x - 5 = 3x + 7
Answer:
one solution: -12/5
Step-by-step explanation:
Solution
To find how many solutions the equation has, we have to solve for the equation first!
Step 1: Combine like terms.
[tex](-4x+2x)+(-5)=3x+7[/tex] [tex]-2x-5=3x+7[/tex]Step 2: Subtract 3x from both sides.
[tex]-2x-5-3x=3x+7-3x[/tex] [tex]-5x-5=7[/tex]Step 3: Add 5 to both sides.
[tex]-5x-5+5=7+5[/tex] [tex]-5x=12[/tex]Step 4: Divide both sides by -5.
[tex]-5x/5=12/-5[/tex] [tex]x=-12/5[/tex]Therefore, the answer is one solution
Does anyone know the answer???
Answer:
That's the right answer
Step-by-step explanation:
Hope to help
mark me as brainlinest plss
3x-y= 17
-x+y= -7
Help please
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?
Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
__
setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
__
solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
__
Additional comment
The perimeter is 36 ft.
Sam is using the expression 2x/6y in class. What is the value of the expression when... x=15 and y= 1/3?
Answer:
the value of the expression will be 15.
Step-by-step explanation:
equation giver : 2x/6y
value of x given: 15
value of y given: 1/3
on putting the values in the equation,
2×15 / 6×1/3
= 30 / 6/3
on simplification,
= 30/2
= 15
therefore, the value of the expression will be 15
hope it helps!!please mark brainliest ♡Multiplication and dvision which number sentence is true? a. b. c. d.
b. and d.
Step-by-step explanation:
the sentence is true
Guys, Please Help me Fast
I will help u so fast, first
you help me
can u answer this
some fanicial and environmental damages that have been made by cars.
please help me
this is exam
teacher giving us 10 minutes to discuss about and I am in washroom of school writing this